Scholar's Cultivation System Panel

"Welcome everyone to my open class. Today's main content is about the proof and application of topological group theory. After class, I will set aside time to answer your questions."

On July 22, 2018, at 2:30 pm, the classroom of the Princeton University Open Class.

Standing on the podium, Xu Yun spoke in English in front of the figure who said at least two or three hundred words below.

He didn't prepare anything specially before, so he relied on improvisation.

Fortunately, the perfection and proof process of topological group theory are all stored in his mind and there will be no unexpected situation.

at the same time.

Since this public class has not yet officially started, the voices of Princeton students talking quietly can be vaguely heard below.

"Is this a math genius from Huaguo? I didn't expect him to speak foreign languages ​​so well."

"It's really exciting to be able to prove the world's mathematical problems."

"It's actually about topological group theory. Today's open class is not in vain."

"My God, he looks younger than us, but he has done miracles."

"Didn't Professor Veitch say that topological group theory doesn't hold?"

"He is the most handsome oriental face I have ever seen. It would be wonderful to have a date with him at night."

...

Xu Yun didn't take these discussions to heart. When he began to explain the relevant content of topological group theory, the audience suddenly became extremely quiet, and all eyes focused on Xu Yun.

"Topological group theory was proposed by me to prove that there are infinite prime numbers in the Fibonacci sequence."

"It is mainly to add topology on the basis of the sieve method, and to optimize and improve it."

"Happily, I have thoroughly proved the feasibility of topological group theory not long ago, which will help us come to the highest hall of number theory."

The words composed of magnetic words were uttered from Xu Yun's mouth, and then the mathematical formulas were written on the blackboard.

"Prime set P = {P1, P2, P3, ..., Pn, ...}"

"The range is Z."

"A(N)={a｜a=N-P, P≤N}"

...

With the passage of time, under Xu Yun's narration, there are more and more mathematical formulas on the blackboard.

Although Xu Yun has simplified it as much as possible by relying on his own ability, it still makes it very difficult for many students to understand.

The originally expectant expression slowly became dignified.

After all, the perfected topological group theory can be used to prove number theory problems.

It's normal for ordinary people not to understand.

Even postgraduates and Ph.D. majors in the Department of Mathematics are blinded by the complex formulas in front of them.

Being able to understand a little bit of superficiality shows that you are quite talented in mathematics.

At the same time, it also made everyone understand the gold content of Xu Yun's open class. It can be said that the level is not weaker than that of the professor of the Institute for Advanced Study.

Like the professors in the general mathematics department, their level is a lot lower than Xu Yun's.

And Wei Qi, who was also sitting in the audience, didn't listen to the lecture at the moment, but took a draft paper and quickly calculated on it.

If someone approached him at this time, he would definitely be able to vaguely hear the repeated words in his mouth.

"Certainly cannot be proven."

"impossible."

"My judgment is not wrong."

"There's definitely an entry point that can be found to disprove this theory."

As a professor of mathematics at Princeton University, he has been engaged in number theory research for decades.

Have absolute confidence in yourself.

Since it is determined that the topological group theory is not established, in this case, we must do everything possible to overthrow it.

When the proof of Hodge's conjecture was released, mathematicians around the world did the same.

Unfortunately, he still underestimated Xu Yun's talent and strength.

After learning about the proof process, he calculated it alone, trying to find an entry point for the overthrow.

For this reason, what Xu Yun said later was hardly settled down.

However, seeing that the open class was about to end, he still couldn't find the problem that could be overturned.

Deligne and Witten, who were not far away, looked at Xu Yun with admiration and excitement in their eyes.

"This kind of talent and understanding of mathematics will not be inferior to Gauss, the prince of mathematics in history. It is a pity that he is not a student of our Princeton University."

"Maybe he can be invited to join our Institute for Advanced Study." Witten turned his head and raised his mouth when he heard Deligne's emotion.

The speaker has no intention and the listener has the heart.

Deligne's eyes lit up when he heard the words, and he began to think in his heart.

"I believe that topological group theory will be widely used in the field of number theory, and welcome everyone to continue to optimize it."

"This is the end of my lecture today, thank you all."

At this time, Xu Yun on the stage finished his conclusion and announced that the public class was over, and the students who were already extremely excited in the audience immediately stepped forward.

The scene looked very lively.

"Can I take a picture with you, sir?"

"Can you give me your contact information, I want to date you."

"You're just amazing."

"This class is very exciting. I will continue to explore mathematics with you as my idol."

"Mr. Xu, I'm an international student from Qinghua University. I'm so happy to see you here."

Compared with the students of Jingzhou University, Princeton University is undoubtedly more bold and proactive.

Among them, several blond female students were so outspoken that Xu Yun was almost overwhelmed.

Of course, the contact information will definitely not be given, and he has no idea of ​​having a cross-border relationship. In the end, he just mentioned his personal email address for communication on mathematics-related issues. Anyway, strictly speaking, his personal email address is no longer a secret, and it won't affect his life.

About twenty minutes passed, and after the number of people in the classroom was greatly reduced, he broke away from the encirclement and walked towards Delinee Witten and others who were still sitting under the stage.

"Professor Deligne."

"Professor Witten."

Perhaps because some female students were too proactive just now, Xu Yun's face was still a little rosy when he greeted her.

Look embarrassed.

"Your talent and potential are even higher than I imagined. With your topological group theory appearing in the field of number theory, I believe that it will not take long for the famous conjectures in number theory that have plagued the entire mathematical community to make progress."

Deligne stood up with a smile on his face, wishing that Xu Yun was his student.

Although the field of his research is mainly algebra, it is impossible for him to understand number theory at this height.

Naturally, we can see the value of topological group theory.

Next to him, Witten said: "If you can see all the world's mathematical problems solved in your lifetime, then you will have no regrets."

Xu Yun listened to the sentiments of the two mathematicians, his face seemed very calm but his heart was very active.

How did Deligne know that he had already applied topological group theory and thoroughly proved Goldbach's conjecture.

I really don't know how they will react when they hear the news.

Just as Xu Yun was thinking, Wei Qi, a professor of mathematics sitting not far away, finally dropped the pen in his hand.

After being stunned for a few seconds, he slowly got up and walked to Xu Yun.

"My previous decision was wrong. Topological group theory is indeed feasible and can be used to prove number theory problems."

"Your research and understanding in the field of number theory is far above mine."

"I apologize for what I said earlier."

Wei Qi finally accepted the reality. After finding that he could not overthrow Xu Yun's proof, he understood how ridiculous his previous decision was.

Facts have proved that it is not that topological group theory is not valid, but that his level is limited and his understanding is not as good as Xu Yun's.

It was more serious for him not to accept the truth in mathematics than to admit his mistakes.

So he made a decision to acknowledge and apologize to topological group theory in front of everyone.

The students who hadn't left the classroom naturally knew Vicky. After seeing his professor apologize, they were even more surprised and realized how valuable the open class just now was.

But before they calmed down, what Deligne said next was even more shocking.

"There is one more thing I would like to ask for your opinion. Would you like to join the Princeton Institute for Advanced Study?"

"Join the Institute for Advanced Study?"

Xu Yun was a little startled when he heard Deligne's words, but he didn't expect that the other party would suddenly invite him to join.

There is no doubt that the gold content of the Princeton Institute for Advanced Study is much stronger than that of the Jingzhou University Institute for Advanced Study in Mathematics. After all, members like Deligne Witten have won the Fields Medal.

The Beijing University Advanced Research Institute has only a few members so far.

When Xu Yun was deep in thought, Wei Qi was envious, and even wanted to agree for Xu Yun.

He has worked in the Department of Mathematics of Princeton University for so long, and he has not yet been able to join the Institute for Advanced Study. Now Xu Yun has not only obtained the qualification to join, but the key is that Deligne personally invited him. The affirmation of the contribution, if it is any other mathematician, I believe it will be envious.

It's just that Xu Yun made the opposite decision from others.

"Thank you, Professor Deligne, for your affirmation of me, but I have already joined our Institute of Advanced Mathematics at Peking University, so I can only say sorry."

To put it bluntly, he is equivalent to proving two difficult mathematical problems, and there is really no need to join the Princeton Institute for Advanced Study.

For him, what he should do is to use his own mathematical knowledge to cultivate outstanding new mathematical talents.

He believes that he can make the Peking University Institute of Advanced Mathematics grow to the level of the Princeton Institute for Advanced Study.

And that day is definitely not far away.

Some students beside him, including Wei Wei, were all surprised when they heard Xu Yun's answer.

A question mark could not help but appear in my mind.

He actually refused?

Thinking of the opportunity that I would never get anyway, but was rejected lightly by others.

I really answered that sentence.

People are more popular than people!

On the contrary, Deligne was relatively calm, as if he had already guessed Xu Yun's decision before asking this question.

It's just that I didn't give up and tried it.

"It doesn't matter."

"No matter where you study mathematics, as long as you can contribute to the development of mathematics, it is enough."

"Thank you Professor Deligne."

After listening to Professor Deligne's words, Xu Yun immediately nodded in response.

The progress of the matter is basically over here, and then Xu Yun only needs to wait to follow Princeton University to attend the Mathematicians Conference, and the deadline for the mission is also approaching.

But then Deligne threw out another request, and he couldn't refuse this request.